The timekeeper for a particular mile race uses a stopwatch to determine the finishing times of the racers. He then calculates that the mean time for the first three finishers was 5.75 minutes. After checking his stopwatch, he notices to his horror that the stopwatch begins timing at 45 seconds rather than at 0, resulting in scores each of which is 45 seconds too long. What is the correct mean time for the first three finishers?

Question

Mathematics

Julia Hess

2 June, 04:15

The timekeeper for a particular mile race uses a stopwatch to determine the finishing times of the racers. He then calculates that the mean time for the first three finishers was 5.75 minutes. After checking his stopwatch, he notices to his horror that the stopwatch begins timing at 45 seconds rather than at 0, resulting in scores each of which is 45 seconds too long. What is the correct mean time for the first three finishers?

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Answers (1)

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Abigayle Lester · Answer 1

300 seconds = 5 minutes

Step-by-step explanation:

At first convert the time in minutes which is

5.75 * 60 = 345 seconds

No as the average is 345 seconds at starts from 45 so we subtract that time from 45 seconds

345-45 = 300 seconds (Mean)

So 300 seconds = 300/60 = 5 minutes

So the Accurate mean is 5 minutes